\(a,\sqrt{65}>\sqrt{63}\Leftrightarrow\sqrt{65}+1>\sqrt{63}+1\\ b,\sqrt{8}>\sqrt{7}\Leftrightarrow\dfrac{1}{\sqrt{8}}< \dfrac{1}{\sqrt{7}}\\ c,\sqrt{34,9}< \sqrt{36}=6\\ d,3\sqrt{25,5}=\sqrt{229,5}>\sqrt{196}=14\\ e,\left(2\sqrt{26}+4\right)^2=108+8\sqrt{26};13^2=169=61+108\\ 8\sqrt{26}=\sqrt{1664}< \sqrt{3721}=61\\ \Leftrightarrow2\sqrt{26}+4< 13\\ f,\left(\sqrt{24}+\sqrt{66}\right)^2=90+24\sqrt{11};16^2=256=90+166\\ 24\sqrt{11}=\sqrt{6336}< \sqrt{27556}=166\\ \Leftrightarrow90+24\sqrt{11}< 90+166\\ \Leftrightarrow\sqrt{24}+\sqrt{66}< 16\\ g,\dfrac{46-3\sqrt{49}}{4}=\dfrac{46-21}{4}=\dfrac{25}{4}=\sqrt{\dfrac{625}{16}}< \sqrt{\dfrac{800}{16}}=\sqrt{50}\)